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Finding the Fourth Proportional to 4,332.67, 6,501.49 and 4,297.44

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Solution

The fourth proportional to 4,332.67, 6,501.49 and 4,297.44 is: 6,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.67 : 6,501.49 = 4,297.44 : x
  2. Step 2: Convert to fraction form
    4,332.67/6,501.49 = 4,297.44/x
  3. Step 3: Cross multiply
    4,332.67x = 6,501.49 × 4,297.44
  4. Step 4: Simplify right side
    4,332.67x = 27,939,763.19
  5. Step 5: Solve for x
    x = 27,939,763.19/4,332.67
  6. Step 6: Final answer
    x = 6,448.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.